What is the limit as x approaches 1+of 1/(x^2+2x-3) ?

The limit as x approaches 1+of 1/(x^2+2x-3) is infinity

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limit as x approaches 1+of 1/(x^2+2x-3)

x \to 1 + lim (\frac{1}{x ^{2} + 2 x - 3})

\infty

Solution steps

x \to 1 + lim (\frac{1}{x ^{2} + 2 x - 3})

For

x

approaching

1

from the right

, x > 1 \Rightarrow x^{2} + 2 x - 3 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 1 lim (\frac{x + 1}{6 x ^{2} + 3 + 3 x})

x \to 0 lim (\frac{1}{tan ^{2} ( x )})

x \to - 2 lim (\frac{x}{x - 2})

x \to 5 lim (x + x^{2})

x \to 0 - lim (\frac{1}{x ^{2} - x})

What is the limit as x approaches 1+of 1/(x^2+2x-3) ?
The limit as x approaches 1+of 1/(x^2+2x-3) is infinity